{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Dropout\n",
    "Dropout [1] is a technique for regularizing neural networks by randomly setting some features to zero during the forward pass. In this exercise you will implement a dropout layer and modify your fully-connected network to optionally use dropout.\n",
    "\n",
    "[1] Geoffrey E. Hinton et al, \"Improving neural networks by preventing co-adaptation of feature detectors\", arXiv 2012"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# As usual, a bit of setup\n",
    "from __future__ import print_function\n",
    "import time\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from cs231n.classifiers.fc_net import *\n",
    "from cs231n.data_utils import get_CIFAR10_data\n",
    "from cs231n.gradient_check import eval_numerical_gradient, eval_numerical_gradient_array\n",
    "from cs231n.solver import Solver\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams['figure.figsize'] = (10.0, 8.0) # set default size of plots\n",
    "plt.rcParams['image.interpolation'] = 'nearest'\n",
    "plt.rcParams['image.cmap'] = 'gray'\n",
    "\n",
    "# for auto-reloading external modules\n",
    "# see http://stackoverflow.com/questions/1907993/autoreload-of-modules-in-ipython\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "def rel_error(x, y):\n",
    "    \"\"\" returns relative error \"\"\"\n",
    "    return np.max(np.abs(x - y) / (np.maximum(1e-8, np.abs(x) + np.abs(y))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X_val:  (1000, 3, 32, 32)\n",
      "X_train:  (49000, 3, 32, 32)\n",
      "X_test:  (1000, 3, 32, 32)\n",
      "y_val:  (1000,)\n",
      "y_train:  (49000,)\n",
      "y_test:  (1000,)\n"
     ]
    }
   ],
   "source": [
    "# Load the (preprocessed) CIFAR10 data.\n",
    "\n",
    "data = get_CIFAR10_data()\n",
    "for k, v in data.items():\n",
    "    print('%s: ' % k, v.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Dropout forward pass\n",
    "In the file `cs231n/layers.py`, implement the forward pass for dropout. Since dropout behaves differently during training and testing, make sure to implement the operation for both modes.\n",
    "\n",
    "Once you have done so, run the cell below to test your implementation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running tests with p =  0.3\n",
      "Mean of input:  10.0002078785\n",
      "Mean of train-time output:  10.0350727971\n",
      "Mean of test-time output:  10.0002078785\n",
      "Fraction of train-time output set to zero:  0.699124\n",
      "Fraction of test-time output set to zero:  0.0\n",
      "\n",
      "Running tests with p =  0.6\n",
      "Mean of input:  10.0002078785\n",
      "Mean of train-time output:  9.97691075877\n",
      "Mean of test-time output:  10.0002078785\n",
      "Fraction of train-time output set to zero:  0.401368\n",
      "Fraction of test-time output set to zero:  0.0\n",
      "\n",
      "Running tests with p =  0.75\n",
      "Mean of input:  10.0002078785\n",
      "Mean of train-time output:  9.99306858826\n",
      "Mean of test-time output:  10.0002078785\n",
      "Fraction of train-time output set to zero:  0.250496\n",
      "Fraction of test-time output set to zero:  0.0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "np.random.seed(231)\n",
    "x = np.random.randn(500, 500) + 10\n",
    "\n",
    "for p in [0.3, 0.6, 0.75]:\n",
    "    out, _ = dropout_forward(x, {'mode': 'train', 'p': p})\n",
    "    out_test, _ = dropout_forward(x, {'mode': 'test', 'p': p})\n",
    "\n",
    "    print('Running tests with p = ', p)\n",
    "    print('Mean of input: ', x.mean())\n",
    "    print('Mean of train-time output: ', out.mean())\n",
    "    print('Mean of test-time output: ', out_test.mean())\n",
    "    print('Fraction of train-time output set to zero: ', (out == 0).mean())\n",
    "    print('Fraction of test-time output set to zero: ', (out_test == 0).mean())\n",
    "    print()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Dropout backward pass\n",
    "In the file `cs231n/layers.py`, implement the backward pass for dropout. After doing so, run the following cell to numerically gradient-check your implementation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dx relative error:  5.44561271827e-11\n"
     ]
    }
   ],
   "source": [
    "np.random.seed(231)\n",
    "x = np.random.randn(10, 10) + 10\n",
    "dout = np.random.randn(*x.shape)\n",
    "\n",
    "dropout_param = {'mode': 'train', 'p': 0.8, 'seed': 123}\n",
    "out, cache = dropout_forward(x, dropout_param)\n",
    "dx = dropout_backward(dout, cache)\n",
    "dx_num = eval_numerical_gradient_array(lambda xx: dropout_forward(xx, dropout_param)[0], x, dout)\n",
    "\n",
    "print('dx relative error: ', rel_error(dx, dx_num))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Fully-connected nets with Dropout\n",
    "In the file `cs231n/classifiers/fc_net.py`, modify your implementation to use dropout. Specificially, if the constructor the the net receives a nonzero value for the `dropout` parameter, then the net should add dropout immediately after every ReLU nonlinearity. After doing so, run the following to numerically gradient-check your implementation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running check with dropout =  0\n",
      "Initial loss:  2.30047908977\n",
      "b3 relative error: 5.80e-11\n",
      "\n",
      "Running check with dropout =  0.25\n",
      "Initial loss:  2.29243250883\n",
      "b3 relative error: 1.65e-10\n",
      "\n",
      "Running check with dropout =  0.5\n",
      "Initial loss:  2.30427592208\n",
      "b3 relative error: 1.13e-10\n",
      "\n"
     ]
    }
   ],
   "source": [
    "np.random.seed(231)\n",
    "N, D, H1, H2, C = 2, 15, 20, 30, 10\n",
    "X = np.random.randn(N, D)\n",
    "y = np.random.randint(C, size=(N,))\n",
    "\n",
    "for dropout in [0, 0.25, 0.5]:\n",
    "    print('Running check with dropout = ', dropout)\n",
    "    model = FullyConnectedNet([H1, H2], input_dim=D, num_classes=C,\n",
    "                            weight_scale=5e-2, dtype=np.float64,\n",
    "                            dropout=dropout, seed=123)\n",
    "\n",
    "    loss, grads = model.loss(X, y)\n",
    "    print('Initial loss: ', loss)\n",
    "\n",
    "    for name in sorted(grads):\n",
    "        f = lambda _: model.loss(X, y)[0]\n",
    "        grad_num = eval_numerical_gradient(f, model.params[name], verbose=False, h=1e-5)\n",
    "    print('%s relative error: %.2e' % (name, rel_error(grad_num, grads[name])))\n",
    "    print()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Regularization experiment\n",
    "As an experiment, we will train a pair of two-layer networks on 500 training examples: one will use no dropout, and one will use a dropout probability of 0.75. We will then visualize the training and validation accuracies of the two networks over time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "(Iteration 1 / 125) loss: 7.856643\n",
      "(Epoch 0 / 25) train acc: 0.274000; val_acc: 0.192000\n",
      "(Epoch 1 / 25) train acc: 0.410000; val_acc: 0.263000\n",
      "(Epoch 2 / 25) train acc: 0.518000; val_acc: 0.269000\n",
      "(Epoch 3 / 25) train acc: 0.550000; val_acc: 0.248000\n",
      "(Epoch 4 / 25) train acc: 0.684000; val_acc: 0.297000\n",
      "(Epoch 5 / 25) train acc: 0.758000; val_acc: 0.292000\n",
      "(Epoch 6 / 25) train acc: 0.782000; val_acc: 0.266000\n",
      "(Epoch 7 / 25) train acc: 0.862000; val_acc: 0.240000\n",
      "(Epoch 8 / 25) train acc: 0.866000; val_acc: 0.283000\n",
      "(Epoch 9 / 25) train acc: 0.904000; val_acc: 0.281000\n",
      "(Epoch 10 / 25) train acc: 0.912000; val_acc: 0.268000\n",
      "(Epoch 11 / 25) train acc: 0.950000; val_acc: 0.288000\n",
      "(Epoch 12 / 25) train acc: 0.960000; val_acc: 0.303000\n",
      "(Epoch 13 / 25) train acc: 0.974000; val_acc: 0.288000\n",
      "(Epoch 14 / 25) train acc: 0.970000; val_acc: 0.275000\n",
      "(Epoch 15 / 25) train acc: 0.986000; val_acc: 0.283000\n",
      "(Epoch 16 / 25) train acc: 0.976000; val_acc: 0.296000\n",
      "(Epoch 17 / 25) train acc: 0.960000; val_acc: 0.301000\n",
      "(Epoch 18 / 25) train acc: 0.972000; val_acc: 0.300000\n",
      "(Epoch 19 / 25) train acc: 0.980000; val_acc: 0.291000\n",
      "(Epoch 20 / 25) train acc: 0.980000; val_acc: 0.302000\n",
      "(Iteration 101 / 125) loss: 0.026443\n",
      "(Epoch 21 / 25) train acc: 0.958000; val_acc: 0.300000\n",
      "(Epoch 22 / 25) train acc: 0.954000; val_acc: 0.289000\n",
      "(Epoch 23 / 25) train acc: 0.958000; val_acc: 0.308000\n",
      "(Epoch 24 / 25) train acc: 0.964000; val_acc: 0.277000\n",
      "(Epoch 25 / 25) train acc: 0.970000; val_acc: 0.296000\n",
      "0.75\n",
      "(Iteration 1 / 125) loss: 11.299055\n",
      "(Epoch 0 / 25) train acc: 0.246000; val_acc: 0.181000\n",
      "(Epoch 1 / 25) train acc: 0.400000; val_acc: 0.231000\n",
      "(Epoch 2 / 25) train acc: 0.544000; val_acc: 0.270000\n",
      "(Epoch 3 / 25) train acc: 0.622000; val_acc: 0.263000\n",
      "(Epoch 4 / 25) train acc: 0.688000; val_acc: 0.300000\n",
      "(Epoch 5 / 25) train acc: 0.774000; val_acc: 0.289000\n",
      "(Epoch 6 / 25) train acc: 0.778000; val_acc: 0.284000\n",
      "(Epoch 7 / 25) train acc: 0.836000; val_acc: 0.281000\n",
      "(Epoch 8 / 25) train acc: 0.842000; val_acc: 0.284000\n",
      "(Epoch 9 / 25) train acc: 0.886000; val_acc: 0.280000\n",
      "(Epoch 10 / 25) train acc: 0.854000; val_acc: 0.308000\n",
      "(Epoch 11 / 25) train acc: 0.910000; val_acc: 0.287000\n",
      "(Epoch 12 / 25) train acc: 0.910000; val_acc: 0.272000\n",
      "(Epoch 13 / 25) train acc: 0.932000; val_acc: 0.292000\n",
      "(Epoch 14 / 25) train acc: 0.938000; val_acc: 0.313000\n",
      "(Epoch 15 / 25) train acc: 0.928000; val_acc: 0.305000\n",
      "(Epoch 16 / 25) train acc: 0.948000; val_acc: 0.280000\n",
      "(Epoch 17 / 25) train acc: 0.958000; val_acc: 0.325000\n",
      "(Epoch 18 / 25) train acc: 0.952000; val_acc: 0.335000\n",
      "(Epoch 19 / 25) train acc: 0.956000; val_acc: 0.301000\n",
      "(Epoch 20 / 25) train acc: 0.962000; val_acc: 0.293000\n",
      "(Iteration 101 / 125) loss: 0.584279\n",
      "(Epoch 21 / 25) train acc: 0.970000; val_acc: 0.300000\n",
      "(Epoch 22 / 25) train acc: 0.946000; val_acc: 0.305000\n",
      "(Epoch 23 / 25) train acc: 0.982000; val_acc: 0.304000\n",
      "(Epoch 24 / 25) train acc: 0.990000; val_acc: 0.298000\n",
      "(Epoch 25 / 25) train acc: 0.974000; val_acc: 0.281000\n"
     ]
    }
   ],
   "source": [
    "# Train two identical nets, one with dropout and one without\n",
    "np.random.seed(231)\n",
    "num_train = 500\n",
    "small_data = {\n",
    "  'X_train': data['X_train'][:num_train],\n",
    "  'y_train': data['y_train'][:num_train],\n",
    "  'X_val': data['X_val'],\n",
    "  'y_val': data['y_val'],\n",
    "}\n",
    "\n",
    "solvers = {}\n",
    "dropout_choices = [0, 0.75]\n",
    "for dropout in dropout_choices:\n",
    "    model = FullyConnectedNet([500], dropout=dropout)\n",
    "    print(dropout)\n",
    "\n",
    "    solver = Solver(model, small_data,\n",
    "                  num_epochs=25, batch_size=100,\n",
    "                  update_rule='adam',\n",
    "                  optim_config={\n",
    "                    'learning_rate': 5e-4,\n",
    "                  },\n",
    "                  verbose=True, print_every=100)\n",
    "    solver.train()\n",
    "    solvers[dropout] = solver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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iJEmSJL2MQVC9wkXdJUmSpOrh0FD1Chd1lyRJkqqHQVC9wkXdJUmSpOphEFSv\ncFF3SZIkqXoUEgQj4oyIWBMRayPisk72XxgRGyJiZfnnE0XUqa5zUXdJkiSpevT5ZDERUQdcA7wL\naAaWRcSSzFzd4dCbMvOivq5P+6ZtQpj5S9ewfnMrIxvqmTV5nBPFSJIkSf1QEbOGTgLWZuZjABGx\nEDgH6BgEVWWmThxl8JMkSZKqQBFDQ0cB69ptN5fbOnp/RKyKiJsjYkzflCZJkiRJA19/nSzmNuDI\nzJwA/Ai4obODImJGRDRFRNOGDRv6tEBJkiRJqlZFBMEWoH0P3+hy2y6ZuSkzXypvXgf8WWdPlJnX\nZmZjZjaOGDGiIsVKkiRJ0kBTRBBcBhwTEWMjYggwHVjS/oCIeHW7zSnAI31YnyRJkiQNaH0+WUxm\nbo+Ii4ClQB3w9cx8OCLmAk2ZuQSYGRFTgO3A08CFfV2nJEmSJA1UkZlF19ArGhsbs6mpqegyJEmS\nJKkQEbE8Mxu7cmx/nSxGkiRJklQhBkFJkiRJqjEGQUmSJEmqMQZBSZIkSaoxBkFJkiRJqjEGQUmS\nJEmqMQZBSZIkSaoxBkFJkiRJqjEGQUmSJEmqMQZBSZIkSaoxBkFJkiRJqjEGQUmSJEmqMQZBSZIk\nSaoxBkFJkiRJqjEGQUmSJEmqMQZBSZIkSaoxBkFJkiRJqjEGQUmSJEmqMYOKLkC9b/GKFuYvXcP6\nza2MbKhn1uRxTJ04quiyJEmSJPUTBsEBZvGKFi6/5SFat+0AoGVzK5ff8hCAYVCSJEkSUNDQ0Ig4\nIyLWRMTaiLhsL8e9PyIyIhr7sr5qNn/pml0hsE3rth3MX7qmoIokSZIk9Td9HgQjog64BngPcCxw\nfkQc28lxBwOfBe7v2wqr2/rNrUzZ717uHTKTx/b/IPcOmcmU/e5l/ebWokuTJEmS1E8U0SM4CVib\nmY9l5lZgIXBOJ8f9D+CfgRf7srhq95GDHmDe4OsYvd9G9gsYvd9G5g2+jo8c9EDRpUmSJEnqJ4oI\ngqOAde22m8ttu0TEm4ExmfmDvixsIPjc4Js4ILbu1nZAbOVzg28qqCJJkiRJ/U2/Wz4iIvYDvgz8\nty4cOyMimiKiacOGDZUvrgoc0PrbbrVLkiRJqj1FBMEWYEy77dHltjYHA+OBeyLiCeAtwJLOJozJ\nzGszszEzG0eMGFHBkqvIsNHda5ckSZJUc4oIgsuAYyJibEQMAaYDS9p2ZuaWzByemUdm5pHAz4Ep\nmdlUQK2hZI8BAAAgAElEQVTV5/TZMLh+97bB9aV2SZIkSaKAIJiZ24GLgKXAI8CizHw4IuZGxJS+\nrmfAmTANzl4Aw8YAUbo9e0GpXZIkSZKAyMyia+gVjY2N2dRkp6EkSZKk2hQRyzOzS2uw97vJYiRJ\nkiRJlWUQlCRJkqQaYxCUJEmSpBpjEJQkSZKkGmMQlCRJkqQaYxCUJEmSpBpjEJQkSZKkGmMQlCRJ\nkqQaYxCUJEmSpBpjEJQkSZKkGmMQlCRJkqQaYxCUJEmSpBpjEJQkSZKkGmMQlCRJkqQaYxCUJEmS\npBpjEJQkSZKkGmMQlCRJkqQaYxCUJEmSpBpjEJQkSZKkGmMQlCRJkqQaU0gQjIgzImJNRKyNiMs6\n2f+piHgoIlZGxL0RcWwRdUqSJEnSQNTnQTAi6oBrgPcAxwLndxL0vpOZx2Xm8cCVwJf7uExJkiRJ\nGrCK6BGcBKzNzMcycyuwEDin/QGZ+Wy7zQOB7MP6JEmSJGlAG1TAOUcB69ptNwMndjwoIj4D/C0w\nBDitb0qTJEmSpIGv304Wk5nXZObrgEuBz3d2TETMiIimiGjasGFD3xYoSZIkSVWqiCDYAoxptz26\n3LYnC4Gpne3IzGszszEzG0eMGNGLJUqSJEnSwFVEEFwGHBMRYyNiCDAdWNL+gIg4pt3mmcCjfVif\nJEmSJA1ofX6NYGZuj4iLgKVAHfD1zHw4IuYCTZm5BLgoIv4c2AY8A3ykr+uUJEmSpIGqiMliyMzb\ngds7tM1ud/+zfV6UJEmSKmrbtm00Nzfz4osvFl2KVNWGDh3K6NGjGTx48D4/RyFBsBYsXtHC/KVr\nWL+5lZEN9cyaPI6pE0cVXZYkSVJhmpubOfjggznyyCOJiKLLkapSZrJp0yaam5sZO3bsPj9Pv501\ntJotXtHC5bc8RMvmVhJo2dzK5bc8xOIVe5sTR5IkaWB78cUXOeywwwyBUg9EBIcddliPe9YNghUw\nf+kaWrft2K2tddsO5i9dU1BFkiRJ/YMhUOq53vjvyCBYAes3t3arXZIkSX3jhz/8IePGjePoo49m\n3rx5nR7z0ksvcd5553H00Udz4okn8sQTT+zad8UVV3D00Uczbtw4li5d+ornu/7667nooot6q/xu\n+8pXvsILL7xQ2Pl7W1fev0suuYTjjz+e448/nte//vU0NDTs2ldXV7dr35QpU17xfE888QTjx4/v\ntfq7a/Hixaxevboiz20QrICRDfXdapckSVLl7dixg8985jPccccdrF69mhtvvLHTP7K/9rWvccgh\nh7B27VouueQSLr30UgBWr17NwoULefjhh/nhD3/Ipz/9aXbs2PGyx3fF9u3be/RaumogBcGuvn9X\nXXUVK1euZOXKlVx88cWce+65u/bV19fv2rdkyZKXPbar+ur9MwhWmVmTx1E/uG63tvrBdcyaPK6g\niiRJkqrP4hUtnDTvLsZe9gNOmndXj+dbeOCBBzj66KM56qijGDJkCNOnT+fWW2992XG33norH/lI\nafWyD3zgA9x5551kJrfeeivTp09n//33Z+zYsRx99NE88MADL3v8v/3bv/H617+eSZMmcd999+1q\nv/DCC/nUpz7FiSeeyOc+9zmefvpppk6dyoQJE3jLW97CqlWrAJgzZw4XXHABb33rWznmmGP46le/\nCpQmCZk1axbjx4/nuOOO46abbgLgnnvu4ayzztp1nosuuojrr7+eBQsWsH79ek499VROPfXUHv3u\n9smqRXDVeJjTULpdtahHT9fV96+9G2+8kfPPP79b51m+fDlvetObeNOb3sQ111yzq/36669nypQp\nnHbaaZx++ul7fT9OPvlkzjzzTMaNG8enPvUpdu7cuaue4447jvHjx+/6BwaAgw46aNf9m2++mQsv\nvJCf/vSnLFmyhFmzZnH88cfzm9/8pluv45U4a2gFtM0O6qyhkiRJ+6Zt8r22eRfaJt8D9vlvqpaW\nFsaMGbNre/To0dx///17PW7QoEEMGzaMTZs20dLSwlve8pbdHt/Ssns4feqpp/jiF7/I8uXLGTZs\nGKeeeioTJ07ctb+5uZmf/vSn1NXVcfHFFzNx4kQWL17MXXfdxYc//GFWrlwJwKpVq/j5z3/OH/7w\nByZOnMiZZ57Jz372M1auXMkvfvELNm7cyAknnMDJJ5+8x9c7c+ZMvvzlL3P33XczfPjwffqd7bNV\ni+C2mbCtfGnUlnWlbYAJ0/bpKbv6/rV58sknefzxxznttNN2tb344os0NjYyaNAgLrvsMqZOnfqy\nx330ox/l6quv5uSTT2bWrFm77XvwwQdZtWoVhx56KN/73vf2+H488MADrF69mte+9rWcccYZ3HLL\nLbztbW/j0ksvZfny5RxyyCG8+93vZvHixZ3WAPC2t72NKVOmcNZZZ/GBD3ygW7+rrjAIVsjUiaMM\nfpIkSftob5Pv9ee/se6//35OOeUURowYAcB5553Hr3/96137/+Iv/oK6utLIsXvvvZfvfe97AJx2\n2mls2rSJZ599FoBzzjmH+vp66uvrOfXUU3nggQe49957Of/886mrq+Pwww/nne98J8uWLeNVr3pV\nH7/KLrhz7h9DYJttraX2fQyC3bVw4UI+8IEP7Pp9Qykcjho1iscee4zTTjuN4447jte97nW79m/e\nvJnNmzfvCnQXXHABd9xxx67973rXuzj00EMB9vp+TJo0iaOOOgqA888/n3vvvZfBgwfv9tn4y7/8\nS37yk5/sMQhWmkNDK6WXu8IlSZJqSSUm3xs1ahTr1q3btd3c3MyoUS8Ple2P2759O1u2bOGwww7r\n8uP35sADD+zScR1nhdzbLJGDBg3aNfQQ6PGyAr1iS3P32rugu7//hQsXvmxYaNvxRx11FKeccgor\nVqzoVg2VeP867u+r988gWAltXeFb1gH5x65ww6AkSVKXVGLyvRNOOIFHH32Uxx9/nK1bt7Jw4cJO\nZ46cMmUKN9xwA1C6Xuu0004jIpgyZQoLFy7kpZde4vHHH+fRRx9l0qRJuz32xBNP5Mc//jGbNm1i\n27ZtfPe7391jPe94xzv49re/DZSuKxs+fPiu3r1bb72VF198kU2bNnHPPfdwwgkn8I53vIObbrqJ\nHTt2sGHDBn7yk58wadIkXvva17J69WpeeuklNm/ezJ133rnrHAcffDDPPffcPv/O9tmw0d1r74Ku\nvn8Av/rVr3jmmWd461vfuqvtmWee4aWXXgJg48aN3HfffRx77LG7Pa6hoYGGhgbuvfdegF3vT2f2\n9H5AaWjo448/zs6dO7npppt4+9vfzqRJk/jxj3/Mxo0b2bFjBzfeeCPvfOc7ATj88MN55JFH2Llz\nJ9///vd3naOS759DQyuhH3SFS5IkVbNZk8ftdo0g9HzyvUGDBnH11VczefJkduzYwcc+9jHe+MY3\nAjB79mwaGxuZMmUKH//4x7ngggs4+uijOfTQQ1m4cCEAb3zjG5k2bRrHHnssgwYN4pprrtlt2CHA\nq1/9aubMmcNb3/pWGhoaOP744/dYz5w5c/jYxz7GhAkTOOCAA3aFT4AJEyZw6qmnsnHjRr7whS8w\ncuRI3ve+9/Gzn/2MN73pTUQEV155JUcccQQA06ZNY/z48YwdO3a3axJnzJjBGWecwciRI7n77rv3\n+XfXbafP3v0aQYDB9aX2fdTV9w9KvYHTp0/fraftkUce4ZOf/CT77bcfO3fu5LLLLntZEITSZD8f\n+9jHiAje/e5377GePb0fv/rVrzjhhBO46KKLWLt2Laeeeirve9/72G+//Zg3bx6nnnoqmcmZZ57J\nOeecA8C8efM466yzGDFiBI2NjTz//PMATJ8+nb/6q79iwYIF3HzzzbsNY+2pyMxee7IiNTY2ZlNT\nU9FllMxpADr7vQbM2dzX1UiSJPULjzzyCG94wxu6fPziFS01OfnenDlzOOigg/i7v/u7okvpmVWL\nSh0hW5pLPYGnz66JTpF77rmHL33pS/z7v/97Rc/T2X9PEbE8Mxu78nh7BCth2OjysNBO2iVJktQl\nTr5X5SZMq4ngV60MgpVQga5wSZIk1YY5c+YUXYJ64JRTTuGUU04puoxX5GQxlTBhGpy9AIaNAaJ0\ne/YC/0VEkiRJUr9gj2Cl2BUuSZL0Mpn5ilPpS9q73pjnxR5BSZIk9YmhQ4eyadOmXvkjVqpVmcmm\nTZsYOnRoj57HHkFJkiT1idGjR9Pc3MyGDRuKLkWqakOHDmX06J5NRGkQlCRJUp8YPHgwY8eOLboM\nSTg0VJIkSZJqjkFQkiRJkmqMQVCSJEmSakwMlFmbImID8GTRdXRiOLCx6CI0oPkZUyX5+VIl+flS\nJfn5UiX118/XazNzRFcOHDBBsL+KiKbMbCy6Dg1cfsZUSX6+VEl+vlRJfr5USQPh8+XQUEmSJEmq\nMQZBSZIkSaoxBsHKu7boAjTg+RlTJfn5UiX5+VIl+flSJVX958trBCVJkiSpxtgjKEmSJEk1xiBY\nQRFxRkSsiYi1EXFZ0fVoYImIJyLioYhYGRFNRdej6hcRX4+I30fEL9u1HRoRP4qIR8u3hxRZo6rX\nHj5fcyKipfw9tjIi3ltkjapeETEmIu6OiNUR8XBEfLbc7neYemwvn6+q/g5zaGiFREQd8GvgXUAz\nsAw4PzNXF1qYBoyIeAJozMz+uIaNqlBEnAw8D3wjM8eX264Ens7MeeV/0DokMy8tsk5Vpz18vuYA\nz2fml4qsTdUvIl4NvDozH4yIg4HlwFTgQvwOUw/t5fM1jSr+DrNHsHImAWsz87HM3AosBM4puCZJ\n2qPM/AnwdIfmc4AbyvdvoPQ/Pqnb9vD5knpFZj6VmQ+W7z8HPAKMwu8w9YK9fL6qmkGwckYB69pt\nNzMAPjDqVxL4j4hYHhEzii5GA9bhmflU+f5vgcOLLEYD0kURsao8dNRhe+qxiDgSmAjcj99h6mUd\nPl9Qxd9hBkGper09M98MvAf4THnYlVQxWbqWwOsJ1Jv+BXgdcDzwFPA/iy1H1S4iDgK+B/xNZj7b\nfp/fYeqpTj5fVf0dZhCsnBZgTLvt0eU2qVdkZkv59vfA9ykNR5Z62+/K10a0XSPx+4Lr0QCSmb/L\nzB2ZuRP4Kn6PqQciYjClP9K/nZm3lJv9DlOv6OzzVe3fYQbBylkGHBMRYyNiCDAdWFJwTRogIuLA\n8sXKRMSBwLuBX+79UdI+WQJ8pHz/I8CtBdaiAabtD/Sy9+H3mPZRRATwNeCRzPxyu11+h6nH9vT5\nqvbvMGcNraDyFLJfAeqAr2fmPxZckgaIiDiKUi8gwCDgO36+1FMRcSNwCjAc+B3wRWAxsAh4DfAk\nMC0znfBD3baHz9cplIZUJfAE8Ml213NJXRYRbwf+H/AQsLPc/N8pXcfld5h6ZC+fr/Op4u8wg6Ak\nSZIk1RiHhkqSJElSjTEISpIkSVKNMQhKkiRJUo0xCEqSJElSjTEISpIkSVKNMQhKktRBROyIiJXt\nfi7rxec+MiKqaq0pSdLAM6joAiRJ6odaM/P4oouQJKlS7BGUJKmLIuKJiLgyIh6KiAci4uhy+5ER\ncVdErIqIOyPiNeX2wyPi+xHxi/LP28pPVRcRX42IhyPiPyKivrAXJUmqSQZBSZJerr7D0NDz2u3b\nkpnHAVcDXym3/W/ghsycAHwbWFBuXwD8ODPfBLwZeLjcfgxwTWa+EdgMvL/Cr0eSpN1EZhZdgyRJ\n/UpEPJ+ZB3XS/gRwWmY+FhGDgd9m5mERsRF4dWZuK7c/lZnDI2IDMDozX2r3HEcCP8rMY8rblwKD\nM/MfKv/KJEkqsUdQkqTuyT3c746X2t3fgdfsS5L6mEFQkqTuOa/d7c/K938KTC/f/0vg/5Xv3wn8\nNUBE1EXEsL4qUpKkvfFfICVJern6iFjZbvuHmdm2hMQhEbGKUq/e+eW2i4F/i4hZwAbgo+X2zwLX\nRsTHKfX8/TXwVMWrlyTpFXiNoCRJXVS+RrAxMzcWXYskST3h0FBJkiRJqjH2CEqSJElSjbFHUJJU\nU8qLv2dEeJ28JKlmGQQlSVUlIn4YEXM7aT8nIn5rwJMk6ZUZBCVJ1eYG4EMRER3aLwC+nZnbC6ip\nV0SJ/2+WJFWc/7ORJFWbxcBhwDvaGiLiEOAs4Bvl7TMjYkVEPBsR6yJiTlefPCIui4jfRMRzEbE6\nIt7XYf9fRcQj7fa/udw+JiJuiYgNEbEpIq4ut8+JiG+1e/xuQ1Mj4p6I+MeIuA94ATgqIj7a7hyP\nRcQnO9RwTkSsLL++30TEGRHxFxGxvMNxfxsRt3b1tUuSaodBUJJUVTKzFVgEfLhd8zTgV5n5i/L2\nH8r7G4Azgb+OiKldPMVvKIXMYcDfA9+KiFcDRMRfAHPKz/0qYAqwKSLqgH8HngSOBEYBC7vxsi4A\nZgAHl5/j95SC7asorUl4VbvAOYlS4J1Vfn0nA08AS4CxEfGGDs/7jW7UIUmqEQZBSVI1ugH4QEQM\nLW9/uNwGQGbek5kPZebOzFwF3Ai8sytPnJnfzcz15cfeBDwKTCrv/gRwZWYuy5K1mflkef9IYFZm\n/iEzX8zMe7vxeq7PzIczc3tmbsvMH2Tmb8rn+DHwH/yxB/TjwNcz80flGlsy81eZ+RJwE/AhgIh4\nI6VQ+u/dqEOSVCMMgpKkqlMOWRuBqRHxOkpB7Dtt+yPixIi4uzxMcwvwKWB4V547Ij5cHna5OSI2\nA+PbPXYMpR7DjsYAT/bg+sR1HWp4T0T8PCKeLtfw3i7UAKUw/MHy9ZMXAIvKAVGSpN0YBCVJ1eob\nlHoCPwQszczftdv3HUpDJcdk5jDg/wIdJ5d5mYh4LfBV4CLgsMxsAH7Z7rHrgNd18tB1wGv2MGPp\nH4AD2m0f0ckxuxb1jYj9ge8BXwIOL9dwexdqIDN/Dmyl1Hv4QeCbnR0nSZJBUJJUrb4B/DnwV7Qb\nFlp2MPB0Zr5Yvqbug118zgMphbINABHxUUo9gm2uA/4uIv6sPMPn0eXw+ADwFDAvIg6MiKERcVL5\nMSuBkyPiNRExDLj8FWoYAuxfrmF7RLwHeHe7/V8DPhoRp0fEfhExKiL+tN3+bwBXA9u6OTxVklRD\nDIKSpKqUmU8AP6UU3pZ02P1pYG5EPAfMpjS5TFeeczXwP4GfAb8DjgPua7f/u8A/UupxfI7SDKaH\nZuYO4GzgaOC/gGbgvPJjfkTp2r1VwHJe4Zq9zHwOmFmu+RlKIXZJu/0PUJ5ABtgC/Bh4bbun+Cal\n8PotJEnag8jMVz5KkiRVhYiopzTr6Jsz89Gi65Ek9U/2CEqSNLD8NbDMEChJ2pvOLmqXJElVKCKe\noDSpTFfXTJQk1SiHhkqSJElSjXFoqCRJkiTVGIOgJEmSJNWYil4jGBFnAP8LqAOuy8x5HfZ/CvgM\nsAN4HphRnrq7bf9rgNXAnMz80t7ONXz48DzyyCN79wVIkiRJUpVYvnz5xswc0ZVjK3aNYETUAb8G\n3kVpPaVlwPkdgt6rMvPZ8v0pwKcz84x2+2+mtLDv/a8UBBsbG7Opqan3X4gkSZIkVYGIWJ6ZjV05\ntpJDQycBazPzsczcCiwEzml/QFsILDuQUugDICKmAo8DD1ewRkmSJEmqOZUMgqOAde22m8ttu4mI\nz0TEb4ArgZnltoOAS4G/r2B9kiRJklSTCp8sJjOvyczXUQp+ny83zwGuyszn9/bYiJgREU0R0bRh\nw4YKVypJkiRJA0MlJ4tpAca02x5dbtuThcC/lO+fCHwgIq4EGoCdEfFiZl7d/gGZeS1wLZSuEeyt\nwiVJkiRpIKtkEFwGHBMRYykFwOnAB9sfEBHHZOaj5c0zgUcBMvMd7Y6ZAzzfMQRKkiRJkvZNxYJg\nZm6PiIuApZSWj/h6Zj4cEXOBpsxcAlwUEX8ObAOeAT5SqXokSZIkSSUVWz6ir7l8hCRJUgerFsGd\nc2FLMwwbDafPhgnTiq5KUoV0Z/mIii4oL0mSpIKsWgS3zYRtraXtLetK22AYlFT8rKGSJEmqgDvn\n/jEEttnWWmqXVPMMgpIkSQPRlubutUuqKQZBSZKkgWjY6O61S6opBkFJkqSB6PTZMLh+97bB9aV2\nSTXPIChJkjQQTZgGZy+AYWOAKN2evcCJYiQBzhoqSZI0cE2YZvCT1Cl7BCVJkiSpxhgEJUmSJKnG\nGAQlSZIkqcYYBCVJkiSpxhgEJUmSJKnGGAQlSZIkqcYYBCVJkipt1SK4ajzMaSjdrlpUdEWSapzr\nCEqSJFXSqkVw20zY1lra3rKutA2u8SepMPYISpIkVdKdc/8YAttsay21S1JBDIKSJEmVtKW5e+2S\n1AcMgpIkSZU0bHT32iWpDxgEJUmSKun02TC4fve2wfWldkkqSEWDYEScERFrImJtRFzWyf5PRcRD\nEbEyIu6NiGPL7e+KiOXlfcsj4rRK1ilJklQxE6bB2Qtg2BggSrdnL3CiGEmFisyszBNH1AG/Bt4F\nNAPLgPMzc3W7Y16Vmc+W708BPp2ZZ0TEROB3mbk+IsYDSzNz1N7O19jYmE1NTRV5LZIkSZLU30XE\n8sxs7MqxlewRnASszczHMnMrsBA4p/0BbSGw7EAgy+0rMnN9uf1hoD4i9q9grZIkSZJUMyq5juAo\nYF277WbgxI4HRcRngL8FhgCdDQF9P/BgZr5UiSIlSZIkqdYUPllMZl6Tma8DLgU+335fRLwR+Gfg\nk509NiJmRERTRDRt2LCh8sVKkiRJ0gBQySDYAoxptz263LYnC4GpbRsRMRr4PvDhzPxNZw/IzGsz\nszEzG0eMGPH/27v/MCnr89D/79tlCZuYsCrUBBYVi+GKIpF0waiJCiTBVIMkJ0VsTWI1JWljbJor\nRPymJRzP+R6p5CR+jV49MebnuZIgWoOkqaUWjalJjIAYqBgq8UfYxUYhgrWuCsv9/WNmyS7yYxb2\n2dmdeb+ui2vmued5Zu7ZeWaYez6/+iBlSZIkSap9RRaCq4CTImJsRAwF5gDLu+8QESd12zwfeKwc\nbwZ+CMzPzJ8UmKMkSZIk1Z3CCsHM3AVcAawAHgWWZuYjEXFNeYZQgCsi4pGIeJjSOMGPdMWBccCC\n8tISD0fE7xWVqyRJkiTVk8KWj+hvLh8hSZIkqZ4NlOUjJEmSJEkDkIWgJEmSJNUZC0FJkurVuqXw\npQmwsLl0uW5ptTOSJPWTIheUlyRJA9W6pfCDK2FnR2l7x+bSNsDE2dXLS5LUL2wRlCSpHq285ndF\nYJedHaW4JKnmWQhKklSPdrT1Li5JqikWgpIk1aPhLb2LS5JqioWgJEn1aPoCaGzqGWtsKsUlSTXP\nQlCSpHo0cTa87wYYPgaI0uX7bnCiGEmqE84aKkl6tXVLS5OG7GgrdRWcvsACoRZNnO3rKumwLFvb\nzuIVG9myvYNRzU3MmzGeWZNGVzstVcBCUJLUk8sKSJIqsGxtO1ffsZ6OnZ0AtG/v4Oo71gNYDA4C\ndg2VJPXksgKSpAosXrFxTxHYpWNnJ4tXbKxSRuoNC0FJUk8uKyBJqsCW7R29imtgsRCUJPXksgIq\n2rql8KUJsLC5dLluabUzkga3Kr2nRjU39SqugcVCUJLUk8sKqEhdY1B3bAbyd2NQLQalQ1PF99S8\nGeNpamzoEWtqbGDejPGFP7YOn4WgJKknlxVQkRyDKvWtKr6nZk0azbcnP8UDw/6Sx1/zxzww7C/5\n9uSnnChmkHDWUEnSq9XhsgJOgd5PHIMq9a1qvqfWLWXy+s8DHRDwRp7ljes/DyccVXf/hwxGtghK\nkupe1xTo7ds7SH43Bfqyte3VTq32OAZV6lvVfE/Zwj+oWQhKkuqeU6D3I8egqmDL1rZz1qJ7GDv/\nh5y16J7a/0Gnmu8pW/gHtUILwYg4LyI2RsSmiJi/j9s/HhHrI+LhiLg/Ik7udtvV5eM2RsSMIvOU\nJNU3p0DvR3U6BrXuihOoykyWddm6X833lC38g1phYwQjogG4CXg30Aasiojlmbmh227fzcz/U95/\nJvBF4LxyQTgHOAUYBfxLRLw5M3v+XCtV27qlpe4PO9pKH3rTF9T8lxmpFo1qbqJ9H0WfU6AXpM7G\noHYVJ12tzl3FCVD4ONSqjX3tmsmyq9tg10yWUOhrf6DW/f543quWf4UxDy3m9/JZnomRbH7bPCbP\n/Fjhj1u199T0BT1fZ7CFfxApskVwCrApMx/PzFeAJcCF3XfIzOe7bb4OyPL1C4ElmflyZj4BbCrf\nnzRwOAW6VDOcAl1FqlbX46q2jlVp7Fg1W/dXLf8KE9b8NW/kWY4oT5wyYc1fs2r5Vwp/7Kqp0xb+\nWlHkrKGjgc3dttuA0/feKSI+AXwaGApM63bsA3sd69RtGlgO9J+cH4DSoNLVUuCsoSpCtYqTqraO\nVWnsWDVb98c8tJimeKVHrCleYcxDi6E/WgWrpc5a+GtJ1ZePyMybgJsi4o+BvwY+UumxETEXmAtw\n3HHHFZOgtD8OkJZqyqxJoy38VIhqFSdVHfs6vKXcY2Yf8QLNmzG+Rzdc6L/W/d/LZyH2Fd9a+GPX\nJYfnHLYiu4a2A2O6bbeUY/uzBJjVm2Mz8+bMbM3M1pEjRx5mulIvOUBaklSBanU93l+h2S9jX6s0\nk+WsSaO59gOnMrq5iQBGNzdx7QdO7ZcfeZ6JfX8XfSZGFP7YdcfhOX2iyEJwFXBSRIyNiKGUJn9Z\n3n2HiDip2+b5wGPl68uBORHxmogYC5wEPFhgrlLvTV/AroZhPUK7GoY5QFqS1EO1ipOqjn2t4tix\nWZNG85P503hi0fn8ZP60fmvp3/y2eXTk0B6xjhzK5rfN65fHryuuX9gnCusampm7IuIKYAXQAHw9\nMx+JiGuA1Zm5HLgiIt4F7ASeo9wttLzfUmADsAv4hDOGaqBZ1nkW9+/8KJ9iCaNiG1vyGK7fPYd3\ndJ61p2lbkjRwVG0GTarT9bjqY1/rbOzY5JkfYxWUZw3dyjMxgs1/0E+zhtabKg7PqebnSF+LzDz4\nXmmKhzUAACAASURBVINAa2trrl69utppqI6cteiefY75GN3cxE/mT9vHEZKkatl7CQcotY71V7dB\nSX3oSxP2MwZ1DPzVvxX2sIPhcyQi1mRmayX7FrqgvFTLXIBakgaPai3hIKkAVRqDWmufIxaC0iGq\n6iB8SVKv+OOdVEOqNAa11j5Hqr58hDRYVXOKaklS71RzfTn1M5cVqA9VGINaa58jtghKh6iaU1RL\nknqnqjNoqv+4rIAKVGufI04WIw1StTRrlVTXbL3oN35u1oEqTSKi+jHQP0d6M1mMhaA0CA2GWask\nVaCr9aL7eliNTf223ppUpKp8YV7YDOzru23Awu3FPrY0ADhrqFTjam3WKqluuSiyalTXD5bt2ztI\noH17B1ffsZ5la9uLfeDhLb2LS3XMQlAahGpt1iqpblVxUWSpSFX7wbJKywpIg5GzhkqD0KjmJv7g\n+bv57JCljIqtbMkRXLdrNmve8O5qpyapN4a37Gc8k60XGtyq9oNlV5fqOht3O9DHrWlgshCUBqHr\nT36MCWtuoSleAaAltvK3jbfwbyefAEyram7S4ai7LzPTF7Drzk8ypPOlPaFdDcMYYuuFBrmqTrNf\nhWUFqmnveQO6uuECtf35qcNm11BpEJr8qy/vKQK7NMUrTP7Vl6uUkXT4qjamqIqWdZ7F/J0fpW33\nCHZn0LZ7BPN3fpRlnWdVOzXpsNTaNPsDmfMG6FDZIigNRo4rUg1avGIj7+68j88O7dnlefGKoTX7\nq/biFRtpf+VMbufMHvGfrdhYs89Z9aHr/K2rFv4qcd4AHSoLQWkwclyRalDr83dzbeMtvLZbl+dF\njbdw9fNQq12e/QKnWjZr0mgLv35Q1W64GtTsGioNRs6Kphp09dDb9hSBXV4br3D10NuqlFHx9vdF\nzS9wkiplN1wdKgtBaTCaOLu04PTwMUCULl2AWoPcsWztVbwW+AVO0uGaNWk0137gVEY3NxHA6OYm\nrv3AqbbG6qDsGioNVtWaFW3d0rqblrsun3MVxH66PEcNd3l2HJWkvmA3XB0KC0FJlVu3FH5wJews\nj0XYsbm0DbVbGK1b2nN6/x2bS9tQu8+5WqYv6Hl+QV10ea7HL3B1t0yIJA1Adg2VVLmV1/T8kg6l\n7ZXXVCeffvDiXQt6rPEGMKTzJV68q7aLk6qwy3NdqMdlQiRpILJFUFLl6nDZimEd/9GruA5TnS0E\nXY8OtOaZrYKS1H8sBCVVrtrLVlRhrN6W3cfQcsSrJyvZsvsYin7Wdp9TLXLJDEmDWg3NG1Bo19CI\nOC8iNkbEpoiYv4/bPx0RGyJiXUSsjIjju912XUQ8EhGPRsQNERFF5iqpAtVctqJrfOKOzUD+bnzi\nuqWFPuwtQy/hxRzaI/ZiDuWWoZcU+rh2n1OtcskMSYNWlb6LFKWwQjAiGoCbgPcCJwMXR8TJe+22\nFmjNzInA7cB15WPPBM4CJgITgMnAOUXlKqlC1RzDVaXxiaedP5cFOZe23SPYnUHb7hEsyLmcdv7c\nQh938YqNvLvzPu4feiWPv+aPuX/olby78z4Wr9hY6ONKRavqkhnrlsKXJsDC5tLlIP3yJqlKamyu\nhCK7hk4BNmXm4wARsQS4ENjQtUNm3ttt/weArp/YExgGDAUCaAR+U2CukipVrTFcVRqfWOqK+Rdc\ntGJ6v3bRbH3+bq5tvGXPAustsZVFjbdw9fMA0wp9bKlIVVsyox5nPZbUt2psroQiC8HRQPfBRG3A\n6QfY/3LgLoDM/FlE3As8TakQvDEzHy0qUUmDQBXHJ1Zjev+rh97Ga3mlR+y18QpXD70NuLZfc5H6\nWlWWzDjQL/kWgpIqUe25EvrYgFg+IiIuAVqBxeXtccBbgBZKBeW0iHjnPo6bGxGrI2L1s88+258p\nS+pv1RyfWAXH8uoJag4Ul3QQNfZLvqQqqLHvIkUWgu3AmG7bLeVYDxHxLuBzwMzMfLkcfj/wQGa+\nkJkvUGopPGPvYzPz5sxszczWkSNH9vkTkDSA1Nkac7GfXxf3F5d0EPt77/iekgalZWvbOWvRPYyd\n/0POWnRP/0ymVmPfRYrsGroKOCkixlIqAOcAf9x9h4iYBHwFOC8zn+l206+BP4uIayl1DT0HuL7A\nXCUNBvW0xtz0BT3HM8Gg/tVRqjrfU1LN6JpZu2tN0q6ZtYHiu53X0HeRwloEM3MXcAWwAngUWJqZ\nj0TENRExs7zbYuBI4LaIeDgilpfjtwO/AtYDvwB+kZk/KCpXSRpwauxXR6nqfE9JNWPxio17isAu\nHTs7nVm7lyIzq51Dn2htbc3Vq1dXOw1JkgaNZWvb+3/2Tkk6TGPn/5B9VTABPLHo/P5OZ0CJiDWZ\n2VrJvgNishhJktS/urpWtW/vIPld16p+GWcjSYdhVHNTr+LaNwtBSZLqkF2rJA1W82aMp6mxoUes\nqbGBeTPGVymjwanIyWIkSdIAtWV7R6/ikjRQdHVht2v74bEQlCQJYN3S0uLiO9pKSwpMX1DTE4mM\nam6ifR9Fn12rJA0GsyaNtvA7THYNlSRp3dLS0gI7NgNZuvzBlaV4jbJrlSTVt4MWghHxyYg4qj+S\nkSSpKlZe03N9OShtr7ymOvn0g1mTRnPtB05ldHMTAYxubuLaD5zqL+ySVCcq6Rp6LLAqIh4Cvg6s\nyFpZc0J9q866VUmqITvaehevEXatkqT6ddAWwcz8a+Ak4GvApcBjEfG/IuL3C85Ng8m6pey685M9\nulXtuvOTNd2tSlINGd7Su7gkSYNcRWMEyy2A/1H+tws4Crg9Iq4rMDcNIi/etYAhnS/1iA3pfIkX\n71pQpYwkqRemL4DGvSZJaWwqxSVJqkEH7RoaEX8JfBjYCtwCzMvMnRFxBPAY8NliU9RgMKzjP3oV\nlzSwLVvbXl/Tcnd1Y7d7uySpTlQyRvBo4AOZ+VT3YGbujogLiklLg82W3cfQcsTWfcerkI+kQ7ds\nbTtX37F+z2Lj7ds7uPqO9QC1Xwxa+EmS6kQlXUPvAn7btRERb4iI0wEy89GiEtPgcsvQS3gxh/aI\nvZhDuWXoJVXKSNKhWrxi454isEvHzk4Wr9hYpYwkSVJfq6QQ/DvghW7bL5Rj0h6nnT+XBTmXtt0j\n2J1B2+4RLMi5nHb+3Gqnpj62bG07Zy26h7Hzf8hZi+5h2dr2aqekPrZlH4uMHyguSZIGn0q6hkb3\n5SLKXUIrOU51pNRd7C+4aMX0+hlTVIfqtstgnRnV3ET7Poq+Uc1N+9hbkiQNRpUUdI9HxJX8rhXw\nL4DHi0tJg5XrUdW+A3UZ9LWvHfNmjO9R8AM0NTYwb8b4KmYlSZL6UiVdQz8OnAm0A23A6YD9/aQ6\nZJfB+jBr0miu/cCpjG5uIoDRzU1c+4FTLfYlSaohB20RzMxngDn9kIv6SN1N+w6lheud9r1wdhms\nH7bwS5JU2ypZR3AYcDlwCjCsK56ZlxWYlw5RXY7hWrcUfnAl7CwXKDs2l7bBYrCP2WVQkiSpNlTS\nNfT/Am8EZgD3AS3AfxaZlA5dXU77vvKa3xWBXXZ2lOLqU3YZlCRJqg2VTBYzLjP/KCIuzMxvRcR3\ngX+t5M4j4jzg/wMagFsyc9Fet38a+CiwC3gWuKxr4fqIOA64BRgDJPCHmflkZU+rftXlGK4dbb2L\n67DYZVCSJGnwq6RFcGf5cntETACGA793sIMiogG4CXgvcDJwcUScvNdua4HWzJwI3A5c1+22bwOL\nM/MtwBTgmQpyrXv7G6tV02O4hrf0Li5JkiTVuUoKwZsj4ijgr4HlwAbgbys4bgqwKTMfz8xXgCXA\nhd13yMx7M/PF8uYDlLqdUi4Yh2Tm3eX9Xui2nw5g3ozxNDU29IjV/Biu6Qugca9Ct7GpFJckSZL0\nKgfsGhoRRwDPZ+ZzwI+BE3tx36OBzd22u5ae2J/LgbvK199MqQXyDmAs8C/A/Mzs3N/BKunqsldX\ns4Z2TQjjrKGSJElSRQ5YCGbm7oj4LLC0yCQi4hKgFTinW17vBCYBvwZuBS4FvrbXcXMpr2l43HHH\nFZnioFKXY7gmzrbwkyRJkipUSdfQf4mIz0TEmIg4uutfBce1U5ropUtLOdZDRLwL+BwwMzNfLofb\ngIfL3Up3AcuAt+19bGbenJmtmdk6cuTIClKSJEmSJFUya+hF5ctPdIslB+8mugo4KSLGUioA5wB/\n3H2HiJgEfAU4r7xwffdjmyNiZGY+C0wDVleQqyRJkiTpIA5aCGbm2EO548zcFRFXACsoLR/x9cx8\nJCKuAVZn5nJgMXAkcFtEAPw6M2dmZmdEfAZYGaUb1gBfPZQ8JEmSJEk9RWYeeIeID+8rnpnfLiSj\nQ9Ta2pqrV9toKEmSJKk+RcSazGytZN9KuoZO7nZ9GDAdeIjSOn+SJEmSpEGmkq6hn+y+HRHNlNYE\nlCRJkiQNQpXMGrq3/6K0tp8kSZIkaRA6aItgRPyA0iyhUCocT6bgdQUlSZIkScWpZIzgF7pd3wU8\nlZltBeUjSZIkSSpYJYXgr4GnM/MlgIhoiogTMvPJQjOTJEmSJBWikjGCtwG7u213lmOSJEmSpEGo\nkkJwSGa+0rVRvj60uJQkSZIkSUWqpBB8NiJmdm1ExIXA1uJSkiRJkiQVqZIxgh8HvhMRN5a324AP\nF5eS1HvL1razeMVGtmzvYFRzE/NmjGfWpNHVTkuSJEkakCpZUP5XwNsj4sjy9guFZyX1wrK17Vx9\nx3o6dnYC0L69g6vvWA9gMShJkiTtw0G7hkbE/4qI5sx8ITNfiIijIuJ/9kdyUiUWr9i4pwjs0rGz\nk8UrNlYpI0mSJGlgq2SM4Hszc3vXRmY+B/xhcSlJvbNle0ev4pIkSVK9q6QQbIiI13RtREQT8JoD\n7C/1q1HNTb2KS5IkSfWukkLwO8DKiLg8Ij4K3A18q9i0pMrNmzGepsaGHrGmxgbmzRhfpYwkSZKk\nga2SyWL+NiJ+AbwLSGAFcHzRiUmV6poQxllDJUmSpMpUsnwEwG8oFYF/BDwB/H1hGUmHYNak0RZ+\nkiRJUoX2WwhGxJuBi8v/tgK3ApGZU/spN0mSJElSAQ7UIvhL4F+BCzJzE0BE/FW/ZCVJkiRJKsyB\nJov5APA0cG9EfDUipgPRmzuPiPMiYmNEbIqI+fu4/dMRsSEi1kXEyog4fq/b3xARbRFxY28eV5Ik\nSZK0f/ttEczMZcCyiHgdcCHwKeD3IuLvgO9n5j8f6I4jogG4CXg30Aasiojlmbmh225rgdbMfDEi\n/hy4Drio2+3/A/jxITwvSTVo2dp2JwWSJEnqAwddPiIz/yszv5uZ7wNaKBVvV1Vw31OATZn5eGa+\nAiyhVFB2v+97M/PF8uYD5fsHICL+ADgWOGDBKak+LFvbztV3rKd9ewcJtG/v4Oo71rNsbXu1U5Mk\nSRp0KllHcI/MfC4zb87M6RXsPhrY3G27rRzbn8uBuwAi4gjgfwOf6U1+kmrX4hUb6djZ2SPWsbOT\nxSs2VikjSZKkwavS5SMKFRGXAK3AOeXQXwD/mJltEfsflhgRc4G5AMcdd1zRaUqqoi3bO3oVlyRJ\n0v4VWQi2A2O6bbeUYz1ExLuAzwHnZObL5fAZwDsj4i+AI4GhEfFCZvaYcCYzbwZuBmhtbc2+fwqS\nBopRzU2076PoG9XcVIVsJEmSBrdedQ3tpVXASRExNiKGAnOA5d13iIhJwFeAmZn5TFc8M/8kM4/L\nzBModQ/99t5FoKT6Mm/GeJoaG3rEmhobmDdjfJUykiRJGrwKaxHMzF0RcQWwAmgAvp6Zj0TENcDq\nzFwOLKbU4ndbuQvorzNzZlE5SRq8umYHddZQSZKkwxeZtdGjsrW1NVevXl3tNCRJkiSpKiJiTWa2\nVrJvkV1DJUmSJEkDkIWgJEmSJNUZC0FJkiRJqjMWgpIkSZJUZywEJUmSJKnOWAjWonVL4UsTYGFz\n6XLd0mpnJEmSJGkAKWwdQVXJuqXwgythZ0dpe8fm0jbAxNnVy0uSJEnSgGGLYK1Zec3visAuOztK\ncUmSJEnCQrD27GjrXVySJElS3bEQrDXDW3oXlyRJklR3LARrzfQF0NjUM9bYVIpLkiRJEhaCtWfi\nbHjfDTB8DBCly/fd4EQxkiRJkvZw1tBaNHG2hZ8kSZKk/bJFUJIkSZLqjIWgJEmSJNUZC0FJkiRJ\nqjMWgpIkSZJUZywEJUmSJKnOWAhKkiRJUp2xEJQkSZKkOlNoIRgR50XExojYFBHz93H7pyNiQ0Ss\ni4iVEXF8OX5aRPwsIh4p33ZRkXlKkiRJUj0prBCMiAbgJuC9wMnAxRFx8l67rQVaM3MicDtwXTn+\nIvDhzDwFOA+4PiKai8pVkiRJkupJkS2CU4BNmfl4Zr4CLAEu7L5DZt6bmS+WNx8AWsrxf8/Mx8rX\ntwDPACMLzFWSJEmS6kaRheBoYHO37bZybH8uB+7aOxgRU4ChwK/6NDtJkiRJqlNDqp0AQERcArQC\n5+wVfxPwf4GPZObufRw3F5gLcNxxx/VDppIkSZI0+BXZItgOjOm23VKO9RAR7wI+B8zMzJe7xd8A\n/BD4XGY+sK8HyMybM7M1M1tHjrTnqCRJkiRVoshCcBVwUkSMjYihwBxgefcdImIS8BVKReAz3eJD\nge8D387M2wvMUZIkSZLqTmGFYGbuAq4AVgCPAksz85GIuCYiZpZ3WwwcCdwWEQ9HRFehOBs4G7i0\nHH84Ik4rKldJkiRJqieRmdXOoU+0trbm6tWrq52GJEmSJFVFRKzJzNZK9i10QXlJkiRJ0sBjIShJ\nkiRJdcZCUJIkSZLqjIWgJEmSJNUZC0FJkiRJqjMWgpIkSZJUZywEJUmSJKnOWAhKkiRJUp2xEJQk\nSZKkOmMhKEmSJEl1xkJQkiRJkuqMhaAkSZIk1RkLQUmSJEmqMxaCkiRJklRnLAQlSZIkqc5YCEqS\nJElSnbEQlCRJkqQ6YyEoSZIkSXXGQlCSJEmS6kyhhWBEnBcRGyNiU0TM38ftn46IDRGxLiJWRsTx\n3W77SEQ8Vv73kSLzlCRJkqR6UlghGBENwE3Ae4GTgYsj4uS9dlsLtGbmROB24LrysUcDnwdOB6YA\nn4+Io4rKVZIkSZLqSZEtglOATZn5eGa+AiwBLuy+Q2bem5kvljcfAFrK12cAd2fmbzPzOeBu4LwC\nc5UkSZKkulFkITga2Nxtu60c25/LgbsO8VhJkiRJUoWGVDsBgIi4BGgFzunlcXOBuQDHHXdcAZlJ\nkiRJUu0pskWwHRjTbbulHOshIt4FfA6YmZkv9+bYzLw5M1szs3XkyJF9lrgkSZIk1bIiC8FVwEkR\nMTYihgJzgOXdd4iIScBXKBWBz3S7aQXwnog4qjxJzHvKMUmSJEnSYSqsa2hm7oqIKygVcA3A1zPz\nkYi4BlidmcuBxcCRwG0RAfDrzJyZmb+NiP9BqZgEuCYzf1tUrpIkSZJUTyIzq51Dn2htbc3Vq1dX\nOw1JkiRJqoqIWJOZrZXsW+iC8pIkSZKkgcdCUJIkSZLqjIWgJEmSJNWZAbGOYC1atradxSs2smV7\nB6Oam5g3YzyzJo2udlqSJEmSZCFYhGVr27n6jvV07OwEoH17B1ffsR7AYlCSJElS1dk1tACLV2zc\nUwR26djZyeIVG6uUkSRJkiT9joVgAbZs7+hVXJIkSZL6k4VgAUY1N/UqLkmSJEn9yUKwAPNmjKep\nsaFHrKmxgXkzxlcpI0mSJEn6HSeLKUDXhDDOGipJkiRpILIQLMisSaMt/CRJkrrZuXMnbW1tvPTS\nS9VORRrUhg0bRktLC42NjYd8HxaCkiRJ6hdtbW28/vWv54QTTiAiqp2ONChlJtu2baOtrY2xY8ce\n8v04RlCSJEn94qWXXuKYY46xCJQOQ0RwzDHHHHbLuoWgJEmS+o1FoHT4+uJ9ZCEoSZKkuvFP//RP\njB8/nnHjxrFo0aJ97vPyyy9z0UUXMW7cOE4//XSefPLJPbdde+21jBs3jvHjx7NixYqDPt43v/lN\nrrjiir5Kv9euv/56Xnzxxao9fl+r5PX7q7/6K0477TROO+003vzmN9Pc3LzntoaGhj23zZw586CP\n9+STTzJhwoQ+y7+3li1bxoYNGwq5b8cISpIkaUBatra9T2dh7+zs5BOf+AR33303LS0tTJ48mZkz\nZ3LyySf32O9rX/saRx11FJs2bWLJkiVcddVV3HrrrWzYsIElS5bwyCOPsGXLFt71rnfx7//+7zQ0\nNOznEfdv165dDBlS/Ffx66+/nksuuYTXvva1hT/Wq6xbCiuvgR1tMLwFpi+AibMP+e4qff2+9KUv\n7bn+5S9/mbVr1+7Zbmpq4uGHHz7kHLr01+u3bNkyLrjgglc9x75gi6AkSZIGnGVr27n6jvW0b+8g\ngfbtHVx9x3qWrW0/5Pt88MEHGTduHCeeeCJDhw5lzpw53Hnnna/a78477+QjH/kIAB/84AdZuXIl\nmcmdd97JnDlzeM1rXsPYsWMZN24cDz744KuO/8Y3vsGb3/xmpkyZwk9+8pM98UsvvZSPf/zjnH76\n6Xz2s5/lt7/9LbNmzWLixIm8/e1vZ926dQAsXLiQD33oQ5xxxhmcdNJJfPWrXwVKk4TMmzePCRMm\ncOqpp3LrrbcC8KMf/YgLLrhgz+NcccUVfPOb3+SGG25gy5YtTJ06lalTpx7y3+2QrFsKP7gSdmwG\nsnT5gytL8UNU6evX3fe+9z0uvvjiXj3OmjVreOtb38pb3/pWbrrppj3xb37zm8ycOZNp06Yxffr0\nA74eZ599Nueffz7jx4/n4x//OLt3796Tz6mnnsqECRO46qqr9tz3kUceuef67bffzqWXXspPf/pT\nli9fzrx58zjttNP41a9+1avncTC2CEqSJGnAWbxiIx07O3vEOnZ2snjFxkNuFWxvb2fMmDF7tlta\nWvj5z39+wP2GDBnC8OHD2bZtG+3t7bz97W/vcXx7e8/C9Omnn+bzn/88a9asYfjw4UydOpVJkybt\nub2trY2f/vSnNDQ08MlPfpJJkyaxbNky7rnnHj784Q/vaa1at24dDzzwAP/1X//FpEmTOP/88/nZ\nz37Gww8/zC9+8Qu2bt3K5MmTOfvss/f7fK+88kq++MUvcu+99zJixIhD+psdspXXwM6OnrGdHaX4\nIbYKVvr6dXnqqad44oknmDZt2p7YSy+9RGtrK0OGDGH+/PnMmjXrVcf96Z/+KTfeeCNnn3028+bN\n63HbQw89xLp16zj66KP5+7//+/2+Hg8++CAbNmzg+OOP57zzzuOOO+7gzDPP5KqrrmLNmjUcddRR\nvOc972HZsmX7zAHgzDPPZObMmVxwwQV88IMf7NXfqhK2CEqSJGnA2bK9o1fxgeLnP/855557LiNH\njmTo0KFcdNFFPW7/oz/6oz1dSe+//34+9KEPATBt2jS2bdvG888/D8CFF15IU1MTI0aMYOrUqTz4\n4IPcf//9XHzxxTQ0NHDsscdyzjnnsGrVqv59gpXa0da7eAGWLFnCBz/4wR5dd5966ilWr17Nd7/7\nXT71qU+9qpVt+/btbN++fU9B1/X6dHn3u9/N0UcfDXDA12PKlCmceOKJNDQ0cPHFF3P//fezatWq\nPefGkCFD+JM/+RN+/OMfF/knOKBCC8GIOC8iNkbEpoiYv4/bz46IhyJiV0R8cK/brouIRyLi0Yi4\nIQbbFFPrlsKXJsDC5tLlYTSDS5Ik1ZtRzU29ildi9OjRbN68ec92W1sbo0e/unWx+367du1ix44d\nHHPMMRUffyCve93rKtpv76++B/oqPGTIkD1dD4HDXlagTwxv6V28Ar39+y9ZsuRV3UK79j/xxBM5\n99xze4wfrEQRr9/et/fX61dYIRgRDcBNwHuBk4GLI2LvUY6/Bi4FvrvXsWcCZwETgQnAZOCconLt\ncwX0iZYkSaon82aMp6mx5yQsTY0NzJsx/pDvc/LkyTz22GM88cQTvPLKKyxZsmSfM0fOnDmTb33r\nW0BpvNa0adOICGbOnMmSJUt4+eWXeeKJJ3jssceYMmVKj2NPP/107rvvPrZt28bOnTu57bbb9pvP\nO9/5Tr7zne8ApXFlI0aM4A1veANQGqf40ksvsW3bNn70ox8xefJk3vnOd3LrrbfS2dnJs88+y49/\n/GOmTJnC8ccfz4YNG3j55ZfZvn07K1eu3PMYr3/96/nP//zPQ/6bHbLpC6Bxr6K9sakUP0SVvn4A\nv/zlL3nuuec444wz9sSee+45Xn75ZQC2bt3KT37yk1dNwtLc3ExzczP3338/wJ7XZ1/293pAqWvo\nE088we7du7n11lt5xzvewZQpU7jvvvvYunUrnZ2dfO973+Occ0olzrHHHsujjz7K7t27+f73v7/n\nMYp8/YocIzgF2JSZjwNExBLgQmDP/KeZ+WT5tt17HZvAMGAoEEAj8JsCc+1bBfSJliRJqidd4wD7\nctbQIUOGcOONNzJjxgw6Ozu57LLLOOWUUwBYsGABra2tzJw5k8svv5wPfehDjBs3jqOPPpolS5YA\ncMoppzB79mxOPvlkhgwZwk033fSqGUPf9KY3sXDhQs444wyam5s57bTT9pvPwoULueyyy5g4cSKv\nfe1r9xSfABMnTmTq1Kls3bqVv/mbv2HUqFG8//3v52c/+xlvfetbiQiuu+463vjGNwIwe/ZsJkyY\nwNixY3uMSZw7dy7nnXceo0aN4t577z3kv12vdX3n7cNZQyt9/aDUGjhnzpweLW2PPvooH/vYxzji\niCPYvXs38+fP3+dsnN/4xje47LLLiAje85737Def/b0ev/zlL5k8eTJXXHEFmzZtYurUqbz//e/n\niCOOYNGiRUydOpXM5Pzzz+fCCy8EYNGiRVxwwQWMHDmS1tZWXnjhBQDmzJnDn/3Zn3HDDTdw++23\n8/u///uH/PfbW2Rmn91ZjzsudfU8LzM/Wt7+EHB6Zr5qIZWI+CbwD5l5e7fYF4CPUioEb8zMb5Gx\n5gAABxRJREFUzx3o8VpbW3P16tV9+AwOw8JmSrXs3gIWbu/vbCRJkgaERx99lLe85S3VTmPAW7hw\nIUceeSSf+cxnqp2KDsGPfvQjvvCFL/AP//APhT7Ovt5PEbEmM1srOX5AThYTEeOAtwAtwGhgWkS8\ncx/7zY2I1RGx+tlnn+3vNPevgD7RkiRJktRXiuwa2g6M6bbdUo5V4v3AA5n5AkBE3AWcAfxr950y\n82bgZii1CB5uwn1m+oLSmMDu3UMPs0+0JEmS6sPChQurnYIOw7nnnsu5555b7TQOqsgWwVXASREx\nNiKGAnOA5RUe+2vgnIgYEhGNlCaKebSgPPvexNnwvhtg+BggSpfvu8HxgZIkSZIGhMJaBDNzV0Rc\nAawAGoCvZ+YjEXENsDozl0fEZOD7wFHA+yLiv2fmKcDtwDRgPaXBdv+UmT8oKtdCTJxt4SdJkrSX\nzDzoVPqSDqwv5nkpsmsomfmPwD/uFVvQ7foqSl1G9z6uE/hYkblJkiSpfw0bNoxt27ZxzDHHWAxK\nhygz2bZtG8OGDTus+ym0EJQkSZK6tLS00NbWxoCa5E8ahIYNG0ZLy+FNRGkhKEmSpH7R2NjI2LFj\nq52GJAbo8hGSJEmSpOJYCEqSJElSnbEQlCRJkqQ6E30x9ehAEBHPAk9VO499GAFsrXYSqmmeYyqS\n55eK5PmlInl+qUgD9fw6PjNHVrJjzRSCA1VErM7M1mrnodrlOaYieX6pSJ5fKpLnl4pUC+eXXUMl\nSZIkqc5YCEqSJElSnbEQLN7N1U5ANc9zTEXy/FKRPL9UJM8vFWnQn1+OEZQkSZKkOmOLoCRJkiTV\nGQvBAkXEeRGxMSI2RcT8auej2hIRT0bE+oh4OCJWVzsfDX4R8fWIeCYi/q1b7OiIuDsiHitfHlXN\nHDV47ef8WhgR7eXPsYcj4g+rmaMGr4gYExH3RsSGiHgkIv6yHPczTIftAOfXoP4Ms2toQSKiAfh3\n4N1AG7AKuDgzN1Q1MdWMiHgSaM3MgbiGjQahiDgbeAH4dmZOKMeuA36bmYvKP2gdlZlXVTNPDU77\nOb8WAi9k5heqmZsGv4h4E/CmzHwoIl4PrAFmAZfiZ5gO0wHOr9kM4s8wWwSLMwXYlJmPZ+YrwBLg\nwirnJEn7lZk/Bn67V/hC4Fvl69+i9B+f1Gv7Ob+kPpGZT2fmQ+Xr/wk8CozGzzD1gQOcX4OahWBx\nRgObu223UQMnjAaUBP45ItZExNxqJ6OadWxmPl2+/h/AsdVMRjXpiohYV+46arc9HbaIOAGYBPwc\nP8PUx/Y6v2AQf4ZZCEqD1zsy823Ae4FPlLtdSYXJ0lgCxxOoL/0d8PvAacDTwP+ubjoa7CLiSODv\ngU9l5vPdb/MzTIdrH+fXoP4MsxAsTjswptt2Szkm9YnMbC9fPgN8n1J3ZKmv/aY8NqJrjMQzVc5H\nNSQzf5OZnZm5G/gqfo7pMEREI6Uv6d/JzDvKYT/D1Cf2dX4N9s8wC8HirAJOioixETEUmAMsr3JO\nqhER8bryYGUi4nXAe4B/O/BR0iFZDnykfP0jwJ1VzEU1pusLetn78XNMhygiAvga8GhmfrHbTX6G\n6bDt7/wa7J9hzhpaoPIUstcDDcDXM/P/rXJKqhERcSKlVkCAIcB3Pb90uCLie8C5wAjgN8DngWXA\nUuA44ClgdmY64Yd6bT/n17mUulQl8CTwsW7juaSKRcQ7gH8F1gO7y+H/h9I4Lj/DdFgOcH5dzCD+\nDLMQlCRJkqQ6Y9dQSZIkSaozFoKSJEmSVGcsBCVJkiSpzlgISpIkSVKdsRCUJEmSpDpjIShJ0l4i\nojMiHu72b34f3vcJETGo1pqSJNWeIdVOQJKkAagjM0+rdhKSJBXFFkFJkioUEU9GxHURsT4iHoyI\nceX4CRFxT0Ssi4iVEXFcOX5sRHw/In5R/ndm+a4aIuKrEfFIRPxzRDRV7UlJkuqShaAkSa/WtFfX\n0Iu63bYjM08FbgSuL8e+DHwrMycC3wFuKMdvAO7LzLcCbwMeKcdPAm7KzFOA7cB/K/j5SJLUQ2Rm\ntXOQJGlAiYgXMvPIfcSfBKZl5uMR0Qj8R2YeExFbgTdl5s5y/OnMHBERzwItmflyt/s4Abg7M08q\nb18FNGbm/yz+mUmSVGKLoCRJvZP7ud4bL3e73olj9iVJ/cxCUJKk3rmo2+XPytd/CswpX/8T4F/L\n11cCfw4QEQ0RMby/kpQk6UD8BVKSpFdrioiHu23/U2Z2LSFxVESso9Sqd3E59kngGxExD3gW+NNy\n/C+BmyPickotf38OPF149pIkHYRjBCVJqlB5jGBrZm6tdi6SJB0Ou4ZKkiRJUp2xRVCSJEmS6owt\ngpIkSZJUZywEJUmSJKnOWAhKkiRJUp2xEJQkSZKkOmMhKEmSJEl1xkJQkiRJkurM/w/4JiTHE79U\nRAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c22206f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot train and validation accuracies of the two models\n",
    "\n",
    "train_accs = []\n",
    "val_accs = []\n",
    "for dropout in dropout_choices:\n",
    "    solver = solvers[dropout]\n",
    "    train_accs.append(solver.train_acc_history[-1])\n",
    "    val_accs.append(solver.val_acc_history[-1])\n",
    "\n",
    "plt.subplot(3, 1, 1)\n",
    "for dropout in dropout_choices:\n",
    "    plt.plot(solvers[dropout].train_acc_history, 'o', label='%.2f dropout' % dropout)\n",
    "plt.title('Train accuracy')\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('Accuracy')\n",
    "plt.legend(ncol=2, loc='lower right')\n",
    "  \n",
    "plt.subplot(3, 1, 2)\n",
    "for dropout in dropout_choices:\n",
    "    plt.plot(solvers[dropout].val_acc_history, 'o', label='%.2f dropout' % dropout)\n",
    "plt.title('Val accuracy')\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('Accuracy')\n",
    "plt.legend(ncol=2, loc='lower right')\n",
    "\n",
    "plt.gcf().set_size_inches(15, 15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Question\n",
    "Explain what you see in this experiment. What does it suggest about dropout?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Answer\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
